Statistics First Term

8/3/2019 Statistics First Term

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ALLAMA IQBAL COLLEGE, SATELLITE TOWN, BAHAWALPUR

Statistics(subjective) I.C.S (part-1) Time =2:30 hours Session(2011-12)

New pattern Total marks:60 Pass marks:30 Boys

Note: section-1 is compulesry.attempt any three questions from section-2

Section-1

Q#1- writes any 15 short answers to the following. (15 x 2 =30)1. Define the three importanc of statistics?

2. Differentiate between paramertr and statistics?

3. Define inferential statistics and secondry statistics?4. Differentiate between varibal and constant?

5. Write three characteristics of statistics?

6. Write three uses of statistics?

7. Differentiate between primary data and secondry data?

8. Define quantitative variable and qualitative variable?9. What is meant by presentation of data?

10. Differentiate between classification and TABULATION?11. Differentiate between GROUPED DATA and UNGROUPED DATA?

12. What is meant by frequency distribution?

13. Define class interval?14.How many methods we calculate mean, also write formulas?15. Calculate of G.M of 1,1,2,2,5,5,8.

16.Find median and mod of -2, 0, 6, 9,-1, 5.17. X =? If X =15, n = 10.

18.If Y = 5 +6X Find Y if X = 2.2

Section -2

Q#2(a) Find A.M. if U = X 15 (5x5=10)10

(b) The first of two samples has 90 values with mean 16. If the two samples have 200 values with mean 15.6.find mean of

second samples.

Q#3(a) The reciprocal of the values of a variable are given.then show that A.M >G.M >H.M (5x5=10)0.0500, 0.0400, 0.0200, 0.0285, 0.0143.

(b) Show that A.M >G.M.

Groups 9.3-9.7 9.8-10.2 10.3-10.7 10.8-11.2

F 2 5 12 17

Q#4(a) A set of numbers consists of six 6`s, seven 7`s, eight 8`s.nine 9`s and ten 10`s.what is median and mode? (5x5=10)(b) Find Q1, D7, and P27. From the following data.

10,23,32,45,43,65,48,26,29,& 28.

Q#5 Find Upper quartial, 3rd decile and 44th percential fom the following data given below. (10)


U -2 -1 0 1 2

F 15 38 65 39 21

X 1.4 1.2 1.0 0.8 .06

F 15 24 33 20 13


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Statistics(subjective) I.C.S (part-1) Time =2:30 hours Session(2011-12)

New pattern Total marks:60 Pass marks:30 Girls

Note: section-1 is compulesry.attempt any three questions from section-2

Section-1

Q#1- writes any 15 short answers to the following. (15 x 2 =30)

1. Define the word statistics with example.2. Differentiate between paramertr and statistics?

3. Define inferential statistics and secondry statistics?4. Differentiate between variable and constant?5. Write three uses of statistics?

6. Differentiate between primary data and secondry data?

7. Define quantitative variable and qualitative variable?8. Differentiate between GROUPED DATA and UNGROUPED DATA?9. Differentiate between Geometric Mean and Harmonic Mean. Also write formulas.

10. Calculate of G.M of 1,1,2,2,5,5,8.

11. Find median and mod of -2, 0, 6, 9,-1, 5.

12. X =? If X =15, n = 10.

13.If Y = Find Y if X = 2.14. Define index number?

15.Distinguish between price relative and link relative?16.Enlist any four uses of indux number?17.If paasche`s index No = 74.76 and fisher`s ideal indux No = 75.76 then find laspeyr`s indux number?18. What is base period and current period?

19.Define fixed base method and chain base method?20. Write the formula of Fisher ideal induxnumber and also define?

21.If p0q0 =422.pnq0=450,pnqn=482,p0qn=446.Find fisher`s indux number.22.

SECTION-2

Q#2(a) Find A.M. if U = X 15 (5x5=10)10

(b) The reciprocal of the values of a variable are given.then show that A.M >G.M >H.M

0.0500, 0.0400, 0.0200, 0.0285, 0.0143.

Q#3(a) Show that G.M >H.M. also find Q2 = Medion (10)

ssGroups 9.3-9.7 9.8-10.2 10.3-10.7 10.8-11s.2

F 2 5 12 17

Q#3 Following are the prices of six commodities for 2010 & 2011.compute price indux by using G.M (1) simple

aggregative (2) simple average of relative induces. (10)

Year A B C D E F

2010(Base) 40 60 20 50 80 1002011 50 60 30 70 90 100

Q#4 Show that Fisher`s indux number is the G.M between Laspere`s and paasche`s indux number for the year 2002(base)

&2003. (10)

YEARS Prices Quantity

2002 2003 2002 2003

A 5 6 14 13

B 4 8 12 10

C 7 8 27 26


U -2 -1 0 1 2

F 15 38 65 39 21


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Statistics(Objective) I.C.S (part-1) Time =20 minits Session(2011-12) boys

Note:-Tick the correct answer.

1. The group data is also called:

(a) Raw data (b) primry data (c) secondry data (d) qualitative

data

2. Weight of students in a College is variable:

(a) continues (b) Discrete (c) constant (d) qualitative

3. In symmetrical dist mean is mode:

(a) < (b) = (c) > (d) none of these

4. Median =

(a) Q2 (b) P50 (c) both

5. Primary data and data are same:

(a) Ungrouped (b) grouped (c) secondary (d) qualitative6. The word statistics is at present used in senses :

(a) 1 (b) 3 (c) 2 (d) 4

7. Frequency is denoted by :

a) X (b) q (c) f (d) p

8. A parameter is a measure computed from:

a) population (b) sample (c) none of these

9. Important basis of classification are:

(a) 1 (b) 4 (c) 3 (d) 2

10.There are methods used for the presentation of data:

a) 1 (b) 2 (c) 4 (d) 3

11.A.M of two numbers a and b is

a) a+b/2 (b) ab/2 (c) 2/a+b (d) 2a/b

12.Main parts of a table are

(a) 5 (b) 4 (c) 3 (d) 2

13.Sum of devations from mean is

(a) +1(b) -1 (c)0 (d) none of these

14.Sum of relative frequency is always:

(a) 1 (b) 2 (c) 3 (d) 4

15.For a certain distributation if (X-10)=5 , (X-2)=0 , (X-13)=13 then the

value of mean is:

(a) 10 (b) 2 (c) 5 d) 0

16.What is mode of the letters in the wordSTATISTICS:


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(a) S (b) T (c) S, T (d) none of thes

17.We must arrang the data before calculating:

(a) Median (b) mode (c) Mean (d) none of these

18.If any value is 0 then we can not calculate:

(a) Median (b) G.M (c) A.M (d) none of these

19.Sum of values divided by their number is called:


20.Q2= P50 = D5 =

(a) 50% (b) 30% (c) 75% (d) none of these


Statistics(Objective) I.C.S (part-1) Time =20 minits Session(2011-12)

Note:-Tick the correct answer.

1. An indux number computed for a singel commodity is called index:

(a) Composite (b) none (c) simpel

2. How many purpos are sarved by indux number:

(a) 2 (b) 6 (c) 3 (d) 1

3. In chain base method the base period is :

(a) Fixed (b) changed (c) constant (d) none of these

4. In indux number can be used as average

(a) Mode (b) Quartials (c) median

5. The most suitable average for indux number is:

(a) A.M (b) G.M (c) H.M (d) Median

6. The word statistics is at present used in senses:

(a) 1 (b) 3 (c)2 (d) 4

7. Frequency is denoted by :

a) X (b) q (c) f (d) p

8. A parameter is a measure computed from:

a) population (b) sample (c) none of these

9. Price relative ../po x100:

(a) qn (b) pn (c) qo (d)

10.In fix base method , the base period should be:

a) for distant (b) abnormal (c) Normal (d) none of these


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11.A.M of two numbers a and b is

a) a+b/2 (b) ab/2 (c) 2/a+b (d) 2a/b

12.Fisher indux number is of laspayre & paasche`s indux number

(a) Mean (b) G.M (c) H.M (d) none of these

13.Sum of devations from mean is

(a) +1 (b) 0 (c) -1 (d) none of these14.Sum of relative frequency is always:

(a) 1 (b) 2 (c) 3 (d) 4

15.For a certain distributation if (X-10)=5 , (X-2)=0 , (X-13)=13 then the

value of mean is:

(a) 10 (b) 2 (c) 5 d) 0

16.What is mode of the letters in the wordSTATISTICS:

(a) S (b) T (c) S, T (d) none of thes

17.We must arrang the data before calculating:


18.If any value is 0 then we can not calculate:

(a) Median (b) G.M (c) A.M (d) none of these

19.Sum of values divided by their number is called:


20.Q2= P50 = D5 =

(a) 50% (b) 30% (c) 75% (d) none of these

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Statistics First Term